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58. A shipping company handles containers in three different sizes: (1) 27 (3 × 3 × 3. 125 fr and。) S12 ft Let X 1,2 3) denote the number of type i containers shipped during a given week. With μ,-EX) and -vua suppose that the mean values and standard deviations are as follows: 쎄-200 -10-12- a. Assuming that Xi, Xy, X are independent, calculate the expected value and variance of the total volume shipped. Hint Volume b. Would your calculations necessarily be correct if the Xjs were not independent? Explain. 27x+125x+512X
math   Statistics-And-Probability   
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3 g -th4 、ǐパrs are independe + , CLcualJ the and va、ionce 아.the -totul volume shrpe (a)Assumio 51200 5400 t 31.250 $4850 -ft 2 2 2. 19 1oo 16 -ft b) ere not (dependent? E入 in? The expected vue would be covYect, bet hut Valiance ould not

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